Project PERISTOCH
Periodic phenomena in stochastic systems
ANR–19–CE40–0023, 2020 — 2024
Published articles
- Z. Agathe-Nerine,
Long-term stability of interacting Hawkes processes on random graphs.
Electronic J. Probability 28, 1–42 (2023).
- J. Barré, C. Bernardin, R. Chétrite, Y. Chopra & M. Mariani, From Fluctuating Kinetics to Fluctuating Hydrodynamics: A Γ–Convergence of Large Deviations Functionals Approach. Journal of Statistical Physics 180, 1095–1127 (2020).
- J. Barré and O. Feliachi,
How general is the Jensen-Varadhan large deviation functional for 1D conservation laws?.
Journal of Physics A: Mathematical and Theoretical 57 (5), 325006 (2023).
- J. Beckers, J. Berndt, D. Block, M. Bonitz, P.J. Bruggeman, L. Couëdel,
G.L. Delzanno, Y. Feng, R. Gopalakrishnan, F. Greiner, P. Hartmann, M.
Horányi, H. Kersten, C.A. Knapek, U. Konopka, U. Kortshagen, E.G.
Kostadinova, E. Kovačević, S.I. Krasheninnikov, I. Mann, D. Mariotti,
L.S. Matthews, A. Melzer, M. Mikikian, V. Nosenko, M.Y. Pustylnik, S.
Ratynskaia, R.M. Sankaran, V. Schneider, E.J. Thimsen, E. Thomas, H.M.
Thomas, P. Tolias, and M. van de Kerkhof,
Physics and applications of dusty plasmas: The perspectives 2023.
Phys. Plasmas 30, 120601 (2023).
- N. Berglund,
An Eyring–Kramers law for slowly oscillating bistable
diffusions.
Probability and Mathematical Physics 2-4, 685–743 (2021).
- N. Berglund, R. Nader,
Stochastic resonance in stochastic PDEs.
Stochastics and Partial Differential Equations: Analysis and Computations, 11, 348–387 (2023).
- N. Berglund, R. Nader,
Concentration estimates for slowly time-dependent singular SPDEs on the two-dimensional torus.
Electronic J. Probability 29, 1–25 (2024).
- F. Coppini, E. Luçon and C. Poquet,
Central Limit Theorems for global and local empirical measures of diffusions on Erdös–Rényi graphs.
Electronic J. Probability 28, (2023).
- M. Deaconu and S. Herrmann,
Strong approximation of Bessel processes.
Methodol. Comput. Appl. Probab. 25, 11, 24 (2024).
- M. Deaconu and S. Herrmann,
Strong approximation of some particular one-dimensional diffusions.
Discrete Contin. Dyn. Syst. Ser. B 29, 1990–2017 (2024).
- C. Duval, E. Luçon and C. Pouzat,
Interacting Hawkes processes with multiplicative inhibition.
Stochastic Processes and their Applications 148, 180–226 (2022).
- S. Herrmann and N. Massin,
Exact simulation of the first passage time through a given level for jump diffusions.
Mathematics and Computers in Simulation 203, 553–576 (2023).
- C. Kuehn, N. Berglund, C. Bick, M. Engel, T. Hurth, A. Iuorio, and C. Soresina,
A General View on Double Limits in Differential Equations.
Physica D 431, 133105 (2022).
- E. Luçon and C. Poquet,
Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction, a slow–fast dynamics approach.
Communications in Mathematical Physics 373, 907–969 (2019).
- E. Luçon and C. Poquet,
Periodicity induced by noise and
interaction in the kinetic mean-field FitzHugh–Nagumo model.
Annals of Applied Probability 31 (2), 561–593 (2021).
- E. Luçon and C. Poquet,
Existence, stability and regularity of periodic solutions for nonlinear Fokker–Planck equations.
J. Dyn. Diff. Equat. 36, 633–671 (2024).
- Y. Y. Yamaguchi and J. Barré,
Discontinuous codimension-two bifurcation in a Vlasov equation.
Physical Review E 107 (5), 054203 (2023).
Accepted, in press
- J. Barré, B. Fernandez et G. Panel,
Slow-fast dynamics in stochastic Lotka-Volterra systems. Preprint 2021,
to appear in Annales de l'Institut Henri Poincaré.
- N. Berglund,
Reducing metastable continuous-space Markov chains to Markov chains on a finite set. Preprint 2023,
to appear in Annales de l'Institut Henri Poincaré.
- E. Luçon and C. Poquet,
Periodicity and longtime diffusion for mean field systems in
Rd. Preprint 2021,
to appear in Annales de l'Institut Henri Poincaré.
In revision
- Z. Agathe-Nerine,
Stability of wandering bumps for Hawkes processes interacting on the circle.
Stoch. Proc. Appl. 28, 1–42 (2023).
Poster and conference proceedings
- G. Saab, C. Lahoud, S. Youssef, M. Mikikian,
Fluid simulation of a CCRF dusty plasma using COMSOL: First stage under dust-free conditions,
XXVI Europhysics Conference on the Atomic and Molecular Physics of
Ionized Gases (ESCAMPIG 2024), Brno (Czech Republic), 9–13 July 2024, P62.
Preprints
- N. Berglund and A. Blessing,
Concentration estimates for SPDEs driven by fractional Brownian motion (2024).
- N. Berglund, G. Medvedev, G. Simpson,
Metastability in the stochastic nearest-neighbor Kuramoto model of coupled phase oscillators (2024).
- G. Giacomin and R. Greenblatt,
Lyapunov exponent for products of random Ising transfer matrices: the balanced disorder case (2021).
- G. Giacomin and R. Greenblatt,
The zeros of the partition function of the pinning model (2021).
- C. Kuehn, J. MacLaurin and G. Zucal,
Stochastic Rotating Waves (2021).